54066096 has 160 divisors (see below), whose sum is σ = 186892800. Its totient is φ = 14618880.

The previous prime is 54066079. The next prime is 54066101. The reversal of 54066096 is 69066045.

It is a happy number.

54066096 is a `hidden beast` number, since 5 + 40 + 6 + 609 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54066096.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56986 + ... + 57926.

It is an arithmetic number, because the mean of its divisors is an integer number (1168080).

Almost surely, 2^54066096 is an apocalyptic number.

54066096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54066096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93446400).

54066096 is an abundant number, since it is smaller than the sum of its proper divisors (132826704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54066096 is a wasteful number, since it uses less digits than its factorization.

54066096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 54066096 is about 7352.9651161963. The cubic root of 54066096 is about 378.1304664283.

The spelling of 54066096 in words is "fifty-four million, sixty-six thousand, ninety-six".